Answer:
The equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
Step-by-step explanation:
We are given that Brittany uses the rowing machine and the stair machine at the gym for an exercise program.
Let the time spend by Brittany on the stair machine be represented by the variable [tex]x[/tex].
and the time spend by Brittany on the rowing machine be represented by the variable [tex]y[/tex].
Now, there are two conditions stated by her trainer;
The first condition states that Brittany will exercise for 30 minutes, dividing her time between the two types of machines, that is;[tex]x + y = 30 \text{ minutes}[/tex]
The second condition states that Brittany will spend three times as much time on the stair machine as on the rowing machine, that is;[tex]x = 3y[/tex]
So, the equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
These equations can be solved either using the substitution method or the elimination method.
PLEASE HELP me ! I NEED HELP
Answer:
Step-by-step explanation:
Let x = the number of 50-cent increases in the cost of a book rental.
Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:
$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.
The number of rentals is:
38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.
(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:
-2x² + 7x + 114
Solve for a. 1/4(20−4a)=6−a 0 all real numbers −1 no solution
Answer:
No solution
Step-by-step explanation:
=> [tex]\frac{1}{4} (20-4a) = 6-a[/tex]
=> [tex]\frac{1}{4} *4(5-a) = 6-a[/tex]
=> [tex]5-a=6-a[/tex]
Adding a to both sides
=> [tex]5-a+a=6-a+a[/tex]
=> 5 ≠ 6
So, this equation has no solution.
If the length of a diagonal of a square is a, what is the length of its side?
problem decoded dude
thank and follow me :)
If the length of a diagonal of a square is a . The length of its side will be a/√2.
How to find the area of the square?The area of the square is found as the square of the length of its side. If the length of a side is a;
Area of a square = side²
Given;
The length of the diagonal is a and the side of the square is x then;
From the pythogorours theorem;
⇒x²+x² =a²
⇒2x²=a²
⇒x²=a²/2
⇒x=a/√2
Hence the length of its side will be a/√2.
To learn more about the area of the square, refer to:
https://brainly.com/question/1658516
#SPJ2
How many seconds are in a day? Use the following unit conversions: 60 sec = 1 min 1 hr = 60 min 24 hr = 1 day A 150 B 1,440 C 3,600 D 86,400
Answer:
There are 86,400 seconds in a day. (Answer choice C)
help me solve this please :)
Answer:
The diagonal has to measure 10 meters
Step-by-step explanation:
The diagonal has to be based on the Pythagorean theorem (for right angle triangles) and that is:
[tex]diagonal^2=side_1^2+side_2^2\\diagonl^2=6^2+8^2\\diagonal ^2=36+64\\diagonal^2=100\\diagonal = 10 \,\,m[/tex]
A room is 12cm long, 7cm wide and
4cm high find the area
the ceiling
Answer:
84 cm.
Step by Step Explanation:
length= 12 cm
breadth= 7 cm
Height= 4 cm
Area= L×B
= (12×7) cm
= 84 cm^2
For the following geometric sequence find the explicit formula: {-1, 3, -9,...}
Answer:
[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = - 1 and r = 3 ÷ - 1 = - 3 , thus explicit formula is
[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]
Brian and his son have a total age of 84.Brian is 26 years older than his son .how old is Brian?
Answer:
Brian = 55
Son = 29
Step-by-step explanation:
Let the ages of Brian and his son be
x +26 and x
Given that :
x + x + 26 = 84
2x + 26 = 84
2x = 58
x = 29.
We know that x is the age of Brian's son. so, Brian's age is 29 + 26 = 55
Hope this helps.
Good Luck
A saleperson receives a base salary of $37,000 in commission of 8% of the total sales of the year if the sales person sells $265,000 of merchandise what is his total salary for the year
Answer:
Sale-person's total salary for the year is $ 82,050
Step-by-step explanation:
Base salary of salesperson = $37,000
commission percentage of salesperson = 17% of sales
sales made in a year = $265,000
commission for salesperson in $ = 17% of sales
commission for salesperson in $ = 17 / 100 * $265,000 = $45,050
Thus, total commission for the given year salesperson is $45,050
Total salary for year = Base salary + total commission for the given year
Total salary for year = $37,000 + $45,050 = $ 82,050 (Answer)
Evaluate 5 12 × 3 4 Give your answer in its simplest form.
Answer:
5/16
Step-by-step explanation:
5/12 × 3/4
Multiply.
15/48
Simplify.
5/16
heeeeeeeeeeelp download the doc
Answer:
105 cm^2Solution,
[tex]area \\ = 9 \times 6 + \frac{1}{2} \times (6 + 11) \times 6 \\ = 54 + \frac{1}{2} \times 17 \times 6 \\ = 54 + 51 \\ = 105 \: {cm}^{2} [/tex]
hope this helps...
Good luck on your assignment..
Answer:
105 m²Step-by-step explanation:
see attached
Find the area of a circle with radius 9 m. Use the value 3.14 for T, and do not round your answer. Be sure to include the correct unit in your answer.
[tex]solution \\ radius = 9 \: m \\ area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {9}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 81 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 254.34 \: {m}^{2} \\ [/tex]
Hope it helps...
Good luck on your assignment
Answer:
[tex]= 254.34 {m}^{2} \\ [/tex]
Step-by-step explanation:
[tex]area = \pi {r}^{2} \\ = \pi \times 9 \times 9 \\ =3 .14 \times 81 \\ = 254.34 {m}^{2} [/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
Jenny wants to buy a new dress for her first school dance. She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $__ .
Answer:
$9.30
Step-by-step explanation:
If you subtract 16.33 from the total of 25.63 you will have 9.3 or 9.30. (They're the same number.)
Hazel buys a dress that costs $50.00. She pays 5% sales tax. How much does she pay for the dress with tax?
Answer:
$52.5
Step-by-step explanation:
Costing Price = $50
Tax = 5% of $50
=> [tex]\frac{5}{100} * 50[/tex]
=> 0.5*5
=> $2.5 Tax
Total Cost = CP + Tax
=> $50 + $2.5
=> $52.5
Answer:
52.50
Step-by-step explanation:
i just did the test
April has only consumed one glass of wine, so her body isn't affected by the alcohol because short-term effects only begin with the second drink. Please select the best answer from the choices provided. T F
ANSWER: False
This is false because alcohol can have effect as soon as the first drink, depending on the type of person you are.
For example, if your parents drank, and you were born early (a preemie) this can affect your ability to drink.
Hope this helps! ^^
Answer:
False
Step-by-step explanation:
Loooook above
help me o mighty math gods +_+
Answer:
A
Step-by-step explanation:
Since the time depends on the pages, the answer is time(pages).
Answer:
A
Step-by-step explanation
Because time , book , and number of pages in the book is in the text
I need help with this problem... can someone help me ASAP please
Answer:
C. -2
Step-by-step explanation:
The slopes of parallel lines are always the same.
In the diagram, angle OLM is twice as large as angle PON.
What is the size of angle OLM?
Answer:
112°
Step-by-step explanation:
∠OLM= 2x, ∠PON= x
∠LOK= x
∠OKL= 180-124= 56
∠OLM= ∠OKL+∠LOK
x+56°= 2x
x= 56°
2x= 112°
PLEASE HELP! Write an equation of the line that passes through (2, 7) and (0, −5).
Answer:
y=6x-5
Step-by-step explanation:
The standered form for the equation of a liner line is y=mx+b where m=the slope and b= the y intercept.
First you need to find the slope which is the change in y over the change in x. The change in the y values (7 and -5) is -12 and the change in the x values (2 and 0) is -2. So the slope is -12/-2 which can be simplified to -6/-1 or 6.
Now that you have the slope you just need the y-intercept. Pick one of the two points from the problem and input that into the x and y values and solve for b. For example 7=6(2)-b where 6(2)=12 and you can then subtract 12 from each side to isolate be and end up with b=-5.
In your final answer, x and y remain as variables to get y=6x-5.
someone help me asap
Answer: b > 13
Step-by-step explanation: b= 14 and 14 is larger than 13. So using the greater than symbol is correct.
Answer:
b > 13
Step-by-step explanation:
Because, if you recall seeing that b = 14 above the question, then you would say that b is greater than 13 because b = 14.
Which system of inequalities is shown?
Answer:
the answer is D
Step-by-step explanation:
y>4 : the shaded region is above the line
y>x : the shaded region is above the line
Does anybody know this
Answer:
A)
i) 17 => 14 => 11
ii) 3 => 17 => 87
B)
=> 6+5(n-1)
why is part B 80 degrees?
Answer:
see below
Step-by-step explanation:
Angle B is 100 degrees because vertical angles are equal
<B and angle X are same side interior angles and since AD and EH are parallel lines same side interior angles are complementary
B + X = 180
100 +x = 180
x = 180-100
x = 80
8(4-x)=7x+2 solve for X
Answer: x= 2
Step-by-step explanation:
(8 X 4)+[8 X (-x)]= 7x+2
32- 8x = 7x+2
-8x-7x =2-32
-15x = -30
x= 2
Answer:
x=2
Step-by-step explanation:
[tex]8(4-x)=7x+2[/tex] Original equation
[tex]32-8x=7x+2[/tex] Distributive property on left
[tex]30=15x[/tex] Combine like terms and isolate the variable (x)
[tex]2=x[/tex] Divide both sides by 15 (Division Property of Equality)
O 12 units
O 15 units
O 20 units
O 25 units
Answer:
12 units
Step-by-step explanation:
Because the two triangles are similar:
[tex]\dfrac{x}{9}=\dfrac{16}{x} \\\\\\\dfrac{x^2}{9}=16 \\\\\\x^2=144 \\\\\\x=12[/tex]
Hope this helps!
the graph is of a function in the form p(t)=a x b^t. what is the function? (2 points)
Answer:
goo
Step-by-step explanation:
gooodret
Hi, can someone please answer this question? Thanks!!!
Answer:
m∠QPR = 20°
Step-by-step explanation:
Step 1: Find x
4x + 27 + 9x - 115 = 107
13x - 88 = 107
13x = 195
x = 15
Step 2: Find m∠QPR
9(15) - 115
135 - 115
m∠QPR = 20°
field book of agricultural land .it is divided into 4 plots. plot 1 is a right angle triangle , plot 2 is an equilateral triangle, plot 3 is a rectangle, plot 4 is a trapezium . find the area of each plot and total the area of field(use√3=1.73)
Answer:
Plot 1 area= 32.5cm²
Plot 2 area = 73.0925cm²
Plot 3 area = 35cm²
Plot 4 area = 54cm²
Total the area of field = 194.5925cm²
Step-by-step explanation:
To find the area of each plot, we need to find the area of the shape of each plot.
A diagram related to the question found at brainly (question ID: 18861101)
has been attached.
Plot 1 is a right angle triangle:
Area = ½ × base × height
AE = 19cm, CF = DE = 7cm
Ad = AE - DE
base =AD = 19-7 = 12cm
Using Pythagoras theorem
height = CD = √(AC² - AD)²
AC = 13cm
CD = √(13² - 12²) = √(169-144)
height = CD = √25 = 5
Area = ½ × 13×5 = 65/2
Area = 32.5cm²
Plot 2 is an equilateral triangle
Area = ½ × base × height
Area of the equilateral triangle = s²/4 ×(√3)
Where s = side = 13cm
√3=1.73
Area of the equilateral triangle = (13)²/4 ×(√3) = 169/4 × 1.73
= 42.25 × 1.73 = 73.0925cm²
Plot 3 is a rectangle
Area of the rectangle = length × width
length = FC = 7cm
width = CD = 5cm
Area of the rectangle = 7×5 = 35cm²
Plot 4 is a trapezium
Area of trapezium = ½(a+b) × height
a = FE = CD = 5cm
b = GH = 17cm
Height = ?
To get night let's break the trapezium diagram. We would have two triangles and 1 rectangle.
FE = CD= 5cm
From the 2nd diagram of the triangle,
Using Pythagoras theorem to find h in both triangles:
9² = h²+x²
h² = 81-x² ...(1)
15² = h²+(12-x)²
225 = h² +144-24x+x²
81 = h²-24x+x² ...(2)
Substitute 1 in 2
81 = 81-x² + x²-24x
24x = 0
x = 0
h² = 81-0² = 81
h = √81 = 9cm
base of the triangle = GH-FE = 17-5 = 12cm
Area of trapezium = ½(5+7) × 9
= 12/2 × 9 = 54cm²
Total the area of field = area of right angled triangle + area of equilateral triangle + area of rectangle +area of trapezium
= 32.5cm² + 73.0925cm² + 35cm² + 54cm²
Total the area of field = 194.5925cm²
Write the equation for the inverse of the function. y=cos(x-pi/2)
answer
y = cos(x - π/2) Solve for x:
y = sin(x)
y = sin(x) is equivalent to sin(x) = y:
sin(x) = y
Take the inverse sine of both sides:
Answer: |
| x = π - sin^(-1)(y) + 2 π n_1 for n_1 element Z
or x = sin^(-1)(y) + 2 π n_2 for n_2 element Z
Simplify the expression $x - 2(1+x) + 3(1-x) - 4(1+2x)$.
Answer:see below
Step-by-step explanation:
1+x evaluates to 1+x
Multiply 2 by 1+x
we multiply 2 by each term in 1+x term by term.
This is the distributive property of multiplication.
Multiply 2 and 1
1
2 × 1 = 2
Multiply 2 and x
Multiply 1 and x
The x just gets copied along.
x
2 × x = 2x
2*(1+x) evaluates to 2+2x
x - 2x = -x
The answer is -x-2
x-2*(1+x) evaluates to -x-2
1-x evaluates to 1-x
Multiply 3 by 1-x
we multiply 3 by each term in 1-x term by term.
This is the distributive property of multiplication.
Multiply 3 and 1
1
3 × 1 = 3
Multiply 3 and -x
Multiply 1 and x
The x just gets copied along.
x
3 × -x = -3x
3*(1-x) evaluates to 3-3x
To add the polynomials -x-2 and 3-3x we try to add or combine terms in one polynomialwith any like terms in the other polynomial.
-x + -3x = -4x
-2 + 3 = 1
The answer is -4x+1
x-2*(1+x)+3*(1-x) evaluates to -4x+1
Multiply x and 2
Multiply x and 1
The x just gets copied along.
The answer is x
x
2*x evaluates to 2x
1+2*x evaluates to 1+2x
Multiply 4 by 1+2x
we multiply 4 by each term in 1+2x term by term.
This is the distributive property of multiplication.
Multiply 4 and 1
1
4 × 1 = 4
Multiply 4 and 2x
Multiply 1 and x
The x just gets copied along.
x
4 × 2x = 8x
4*(1+2*x) evaluates to 4+8x
To subtract the polynomials -4x+1 and 4+8x we try to subtract terms in one polynomialwith any like terms in the other polynomial.
Be very careful with the "-" sign in front of 4+8x it is to be used on all terms in it.
-4x - 8x = -12x
1 - 4 = -3
The answer is -12x-3
x-2*(1+x)+3*(1-x)-4*(1+2*x) evaluates to -12x-3
The final answer is
-12x-3
